QUESTION 3 - 10 MARKS A new pump-piping system is to be designed to deliver 500 L/min of water (at 10 C) uphill from a large reservoir to a construction site. As shown in the figure below, the upper portion of the piping system is 6 m above the lower portion and the angle of the inclined section of pipe is 40 relative to the horizon. The same type of piping (2%2 schedule 40 cast iron) is used for the entire length on the discharge side of the pump. P 6 m Pump P 40 Water @ 10C a. Write the simplified form of the Bernoulli equation for the condition where reference points 1 & 2 are chosen to be where the two pressure gauges are located on the discharge side of the pump. NOTE: you can ignore the minor losses associated with the two elbows that are needed to make the incline. (3 marks) b. If the differential pressure reading between the two pressure gauges is reported to be 84.5 kPa, determine the total length of the 2/2" schedule 40 cast iron piping between the two pressure gauges. (5 marks) c. With extended use, it is expected that the cast iron pipe will become worn and rusty. Comment on which variable in the Bernoulli equation would account for this change and what is the overall effect on the performance of the pump-piping system. Give a BRIEF explanation (no calculations are needed!) of how you would determine the actual change in the performance of the pump-piping system. (2 marks)